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Finding the Third Proportional to 66,728 and 144,994

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Solution

The third proportional to 66,728 and 144,994 is: 315,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,728 : 144,994 = 144,994 : x
  2. Step 2: Convert to fraction form
    66,728/144,994 = 144,994/x
  3. Step 3: Cross multiply
    66,728x = 144,994 × 144,994
  4. Step 4: Simplify right side
    66,728x = 21,023,260,036
  5. Step 5: Solve for x
    x = 21,023,260,036/66,728
  6. Step 6: Final answer
    x = 315,059.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.